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Finding the Fourth Proportional to 8,105.63, 12,160.16 and 2,560.56

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Solution

The fourth proportional to 8,105.63, 12,160.16 and 2,560.56 is: 3,841.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,105.63 : 12,160.16 = 2,560.56 : x
  2. Step 2: Convert to fraction form
    8,105.63/12,160.16 = 2,560.56/x
  3. Step 3: Cross multiply
    8,105.63x = 12,160.16 × 2,560.56
  4. Step 4: Simplify right side
    8,105.63x = 31,136,806.49
  5. Step 5: Solve for x
    x = 31,136,806.49/8,105.63
  6. Step 6: Final answer
    x = 3,841.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.